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Two varieties of wheat – A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3: 7.
If 5 kg of the mixture is sold at 25% profit, find the profit made?

Correct

Explanation

Let the quantities of A and B mixed be 3x kg and 7x kg.
Cost of 3x kg of A = 9(3x) = Rs. 27x
Cost of 7x kg of B = 15(7x) = Rs. 105x
Cost of 10x kg of the mixture = 27x + 105x = Rs. 132x
Cost of 5 kg of the mixture = 132x/10x (5) = Rs. 66
Profit made in selling 5 kg of the mixture = 25/100 (cost of 5 kg of the mixture) = 25/100 * 66 = Rs. 16.50

Incorrect

Explanation

Let the quantities of A and B mixed be 3x kg and 7x kg.
Cost of 3x kg of A = 9(3x) = Rs. 27x
Cost of 7x kg of B = 15(7x) = Rs. 105x
Cost of 10x kg of the mixture = 27x + 105x = Rs. 132x
Cost of 5 kg of the mixture = 132x/10x (5) = Rs. 66
Profit made in selling 5 kg of the mixture = 25/100 (cost of 5 kg of the mixture) = 25/100 * 66 = Rs. 16.50

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

In a hotel, 60% had vegetarian lunch while 30% had non-vegetarian lunch and 15% had both type of
lunch. If 96 people were present, how many did not eat either type of lunch?

Correct

Incorrect

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

The salary of Amit is 3/4th of the salary of Raju; while the salary of Raju is 25% less than the salary of Sohan. The difference between the salaries of Amit and Sohan is Rs.98; find 14 2/(7 )%of the sum of the salaries of Raju and Sohan.

Correct

Explanation

Let the salary of Raju, Sohan and Amit be x, y and z respectively.
z = 3/4 * x —— (1)
x = 3/4 * y ——- (2) (Sine x is 25 % less than y. So, x’s salary is equal to 75% salary of y)
Sub (2) in (1) z = 3/4 * 3/4 * y —— (3)
The difference between the salaries of Amit and Sohan is Rs.98 y –z = 98
From that, we get z = y – 98 —- (4)
By substituting (4) in (3) we will get, y = 224; By substituting ‘y’ in (2) we will get, x = 168;
Now, 14 2/7% of (x + y) = 100/7 * 1/100 * (224+168) = 392/7 = 56.

Incorrect

Explanation

Let the salary of Raju, Sohan and Amit be x, y and z respectively.
z = 3/4 * x —— (1)
x = 3/4 * y ——- (2) (Sine x is 25 % less than y. So, x’s salary is equal to 75% salary of y)
Sub (2) in (1) z = 3/4 * 3/4 * y —— (3)
The difference between the salaries of Amit and Sohan is Rs.98 y –z = 98
From that, we get z = y – 98 —- (4)
By substituting (4) in (3) we will get, y = 224; By substituting ‘y’ in (2) we will get, x = 168;
Now, 14 2/7% of (x + y) = 100/7 * 1/100 * (224+168) = 392/7 = 56.

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

A man sold one watch and one pen for Rs. 492 and Rs. 168 respectively, gaining 10% of the total C.P of the two articles. Had he sold the watch for Rs. 435 and the pen at its C.P, he would have lost 5% on the total C.P. Find the C.P of the watch.

Correct

Explanation

In the 1st case: Total S.P = 492 + 168 = 660
Profit earned = 10% C.P of both articles = 660 * 100/ 110 = 570.
In the second case: Total loss = 5%
Total SP at 5% loss = 600 – 5% of 600 = 570
Therefore, S.P of watch + C.P of Pen = 570 435+ Cost of Pen =570
Therefore, Cost of Pen = 570 – 435 = 135.
Therefore, C.P of watch = Total C.P – C.P of Pen = 660 -135 = 465.

Incorrect

Explanation

In the 1st case: Total S.P = 492 + 168 = 660
Profit earned = 10% C.P of both articles = 660 * 100/ 110 = 570.
In the second case: Total loss = 5%
Total SP at 5% loss = 600 – 5% of 600 = 570
Therefore, S.P of watch + C.P of Pen = 570 435+ Cost of Pen =570
Therefore, Cost of Pen = 570 – 435 = 135.
Therefore, C.P of watch = Total C.P – C.P of Pen = 660 -135 = 465.

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

The rate of interest for the first 2 years is 5% for the next 3 years is 8% and beyond this it is 10% per annum. If the simple interest for 8 years is Rs 1280. What is the principal?

Correct

Explanation
r1 = 5%, r2 = 8%, r3 = 10%,
t1 = 2 years, t2 = 3 years, t3 = 8 – (2 + 3) = 3 years
∵ Principal = (Interest x 100) / [(r1 x t1) + (r2 x t2) + (r3 x t3)]
= (1280 x 100) / (5 x 2 + 8 x 3 + 10 x 3)
= 128000/(10 + 24 + 30)
= 128000/64 =Rs. 2000

Incorrect

Explanation
r1 = 5%, r2 = 8%, r3 = 10%,
t1 = 2 years, t2 = 3 years, t3 = 8 – (2 + 3) = 3 years
∵ Principal = (Interest x 100) / [(r1 x t1) + (r2 x t2) + (r3 x t3)]
= (1280 x 100) / (5 x 2 + 8 x 3 + 10 x 3)
= 128000/(10 + 24 + 30)
= 128000/64 =Rs. 2000